Solve 2*3/4-6*-17/12

$$2 \times \frac{ 3 }{ 4 } -6 \times - \frac{ 17 }{ 12 }$$

Evaluate

$$10$$

Solution Steps

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{2\times 3}{4}-6\left(-\frac{17}{12}\right)$$

Multiply 2 and 3 to get 6.

$$\frac{6}{4}-6\left(-\frac{17}{12}\right)$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-6\left(-\frac{17}{12}\right)$$

Express 6\left(-\frac{17}{12}\right) as a single fraction.

$$\frac{3}{2}-\frac{6\left(-17\right)}{12}$$

Multiply 6 and -17 to get -102.

$$\frac{3}{2}-\frac{-102}{12}$$

Reduce the fraction \frac{-102}{12} to lowest terms by extracting and canceling out 6.

$$\frac{3}{2}-\left(-\frac{17}{2}\right)$$

The opposite of -\frac{17}{2} is \frac{17}{2}.

$$\frac{3}{2}+\frac{17}{2}$$

Since \frac{3}{2} and \frac{17}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+17}{2}$$

Add 3 and 17 to get 20.

$$\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$10$$

Factor

$$2\times 5$$